Extension of the Smoluchowski Theory to Transitions from Dilute to Dense Regime of Brownian Coagulation: Triple Collisions

In order to study the transition from dilute (controlled by binary collisions) to dense (controlled by multiple collisions) regime of coagulation of colloidal or aerosol suspensions, the Smoluchowski equation is generalized by consideration of triple collisions in the kinetic approach, recently proposed by the authors for coagulation of comparable size particles. A good agreement of the new model predictions with more general results of the direct numerical simulations by Langevin dynamics (from the literature) is attained in a relatively wide range of the fractional volume, corresponding to the transition from dilute to dense regime of coagulation dynamics, in which multiple collisions among more than three particles can be neglected.